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Finding the Fourth Proportional to 386,891.87, 533,032.53 and 299,376.08

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Solution

The fourth proportional to 386,891.87, 533,032.53 and 299,376.08 is: 412,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,891.87 : 533,032.53 = 299,376.08 : x
  2. Step 2: Convert to fraction form
    386,891.87/533,032.53 = 299,376.08/x
  3. Step 3: Cross multiply
    386,891.87x = 533,032.53 × 299,376.08
  4. Step 4: Simplify right side
    386,891.87x = 159,577,186,476.78
  5. Step 5: Solve for x
    x = 159,577,186,476.78/386,891.87
  6. Step 6: Final answer
    x = 412,459.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.